Mathematics College

PLS HELP I WILL GIVE BRAINLEST

1. Patrick is saving money to buy a video game that costs $68.

Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.

Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.

Answers

Answer 1

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2) So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

Related Questions

a larger gear wheel has 40 teeth and a small gear wheel has 25 teeth. if the larger one makes 100 revolutions in a minute, how many revolutions does the smaller one make?

Answers

lets calculate gear ration T2/T1
so the gear ratio will be 1.6 it simply means dat if u rotate large gears one full revolution it tends to turn another short wheel to 1.6 revs, so in ur qtion the large whell revs 100 den u must multiply wid 1.6*100= 160 revs

so if x +3y =1 how do i plug it in to -x +2y =4

-x +3y=1-x

3y/3=1-x/3

y=1/3 - x/3

y=-1/3x +1/3

Then I have to plug x into the y= the fractions confuse me

Answers

If x + 3y = 1, then x = 1 - 3y.

Then in the second equation, replace x with 1 - 3y :

-x + 2y = 4

- (1 - 3y) + 2y = 4

-1 + 3y + 2y = 4

-1 + 5y = 4

5y = 5

y = 1 → x = -2

since x = 1 - 3•1 = 1 - 3 = -2.

Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get

x + 3y = 1

3y = 1 - x

y = (1 - x)/3

Then replace y in the second equation:

-x + 2y = 4

-x + 2 ((1 - x)/3) = 4

-x + 2/3 (1 - x) = 4

Multiply both sides by 3 to get rid of the fraction:

-3x + 2 (1 - x) = 12

-3x + 2 - 2x = 12

-5x + 2 = 12

-5x = 10

x = -2 → y = 1

since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.

the product of -3/4 and a namber x is -27

Answers

Answer:

Step-by-step explanation:

crossing out the 2 negatives, simplifying

3/4x=27

plz brainliestt

The distance in feet that Karina swims in a race is represented by 5d -5, where d is the distance for eac
What is an expression equivalent to 5d -5?
Choose the correct answer below.
A. 5d - 5 = 5(-5)
B. 5d -5 = -5 + 5d
C. 5d - 5 = 5-5d
D. 5d - 5 = -5(d+5)

Answers

Answer:

C. 5d - 5 = 5-5d

Step-by-step explanation:

The answer is B. 5b-5 = -5+5b

Shhdhskwoqoqpqpqlqlqlqlalalsmmsmsmznzhxhfhrsq

Answers

Answer:

C=14π

Step-by-step explanation:

C=2πr

14 is the diameter. radius is half of diameter. r=7

C=2π(7)

C=14π

Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?

Answers

the value of s is 11

How many solutions does this system have: y = 3x -3 and y = 3x - 3

Answers

Answer:

It has 1 unique answer or no solution

Step-by-step explanation:

Answer:

This system has only one solution

Step-by-step explanation:

10. Simplify. * *
-4i (81)
32
50
47
35

Answers

Answer:

55+5=60

Step-by-step explanation:

Slove for N will give brainliest

Answers

Answer:

n= -4/7

Step-by-step explanation:

how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?

Answers

Answer:

Step-by-step explanation:

rules:

add outside the function : f(x) ± a; will shift a + up / a- down

add inside the function: f(x ± a); will shift a + left / a- right

so if

f(x) becomes f(x) -4 will be shifting down 4 units

i don't really understand, please help!!

Answers

Step-by-step explanation:

the proof is given above

Step-by-step explanation:

In Triangle ICU,

Angle 2 = 180° - Angle 1 (Angles on a straight line)

CR = CU - RU

In Triangle ISR,

Angle 3 = 180° - Angle 4(Angles on a straight line)

SU = RS - RU

Angle 1 = Angle 4

Therefore, Angle 2 is equal to Angle 3

CU = RS

Therefore, CR is equal to SU

Triangle ICR and Triangle ISU

IC = IS

Angle 2 = Angle 3

CR = SU

Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).

As the two triangles are congruent, Angle CIR = Angle SIU

Solve 72 = 3v^2, where v is a real number

Answers

Answer:

v is equal to 6

Step-by-step explanation:

Answer: v=2√6 or v=−2√6

Step-by-step explanation:

1) Jared got 18 out of 25 questions correct on a quiz. What grade did he get?

Answers

Answer:

72 or 72/100 or 72% or whatever

Step-by-step explanation:

18/25= .72 Simple!

Can I please get some help

Answers

Answer:

a) 8

b) -4

c) 3x² - 4x + 8

d) 20

e) 28

Step-by-step explanation:

a) (-2)² + 4 = 8

b) 8 + [4(-2) - 4] = 8 + (-8 - 4) = 8 + (-12) = -4

c) 3(x² + 4) = 3x² + 12

3x² + 12 - (4x - 4) = 3x² - 4x + 8

d) g(2) = 4 4² + 4 = 20

e) f(2) = 8 4(8) - 4 = 28

Prove: The sum of two multiples of 3
is a multiple of 3.
3m + 3n = [?](m + n)
= a multiple of

Answers

Just factor out the 3:

3m + 3n = 3 (m + n)

Which is a correct name for the angle shown?

Answers

Answer:

Angle CBA (the last one)

Step-by-step explanation:

Just look at the order of it. It could either be Angle ABC or Angle CBA.

(hope this helps!)

I think it’s the first one of you do t already have a anwser

Solve the inequality 37v < -18

Answers

The Answer: V< - 18/37

Answer:

I'm not sure

Step-by-step explanation:

sorry need point

John is putting together Christmas gift bags. If he has 20 Kit Kats and 35 bracelets, what is the greatest number of bags he can make in order to have the equal number of KitKats and bracelets in each bag? Hint: Find the GCF

Answers

Answer:5

Step-by-step explanation: the gcf for both number are 5, 20: 5*4. 35: 5*7

please help asap!!!!

Answers

try 10 as the answer. Good luck

PLZ HELP!!
What quadrant is (0, 4)
A.1
B.2
C.3
D.4
E.x-axis
F.y-axis

Answers

Answer:

F.y-axis

Step-by-step explanation:

y axis is the answer because 0 is starting.

The given point

(0,4)

is on the positive segment of the y-axis.

3+(-4) on a number line iready

Answers

Answer:

it minus one or -1

Step-by-step explanation:

because 4 has more minus than 3 plus

what is 2(2 + k) simplified?

Answers

Answer:

4+2k

Step-by-step explanation:

You multiply them out.

2 x 2=4, and 2 x k =2k. Combine them. 4+2k.

Hope I helped!

what does x equal -4 = x - 93/-1

Answers

Answer:

x= -97

Step-by-step explanation:

I hope this help!!!

Divya is painting a room. She uses 3/4 gallon of paint to cover 1/5 of a wall. If the walls are all the same size how much paint will she need to cover one wall?

1) 3/20 gallons
2) 3 gallons
3) 3 3/4 gallons
4) 5 gallons

Answers

Answer:

3) 3 3/4

Step-by-step explanation:

The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
(5x + 8) cm

Answers

The length of each side of the square is; 20.5cm

Squares and equal sides

Since, all sides of a square have equal lengths;

We can assume that the the sides given are equal so that we have;

7x +3 = 5x +8

2x = 8 -3

2x = 5

x = 5/2

x = 2.5

By substituting x into either of the expressions! we have;

7x + 3

7(2.5) + 3 = 17.5 + 3

= 20.5

Answers

Answer:

3 √ 2 /2

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Exact Form:

3 √ 2 /2

Decimal Form:

2.12132034

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Please help im deperate

Answers

Answer:

Step-by-step explanation:

1. No it is not a solution and doesn't work

2. Yes it does work for both

3. Only works for the first one

Find the value of this expression if x=-9.

Answers

Answer:

if x = -9

then, (-9)×(-9) + 3

= 81 +3

= 84

(-9) + 6

= -3

so, ans is = 84/(-3)

= (-84)/3

7/y = 3x make y the subject

Answers

Answer:

7/y=3x

(3x)y=7

y=7/3x

An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.

Answers

Answer:

Statistics can help solving data quantitative analysis data.

Step-by-step explanation:

Statistics can help solving data quantitative analysis data.

Examples of questions, that statistics can help provide answers to

What is the measure of central tendency, that is representative of entire statistical data.

Ans : It can be found out by calculating mean , median , mode

How widely dispersed or spread off is the data

Ans : It can be found out by calculating standard deviation, variance

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?

Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.

Therefore:

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

Learn more about statistics on:

https://brainly.com/question/12150562

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